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Chapter 7: Problem 43

Write each decimal as a percent. $$ 0.056 $$

Short Answer

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Step by step solution

01

Understand the Relationship

The first step is to understand that a percent is a way of expressing a number as a fraction of 100. Essentially, converting a decimal to a percent involves scaling up the decimal by a factor of 100.
02

Multiply by 100

To convert the given decimal 0.056 to a percent, multiply the decimal by 100. This is due to the fact that 1 percent is equivalent to 1/100, therefore multiplying by 100 will convert the decimal to its percent form. Thus, \( 0.056 \times 100 = 5.6 \).
03

Add the Percent Sign

Once the multiplication is complete, add a percent sign (%) to the resulting number to signify that it is a percentage. Therefore, 0.056 as a percent is 5.6%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal to Percent
Understanding how to convert a decimal to a percent is a crucial math skill. A percent is a way to represent a number as a fraction of 100.
When converting a decimal to a percent, you are essentially determining how many parts out of 100 the decimal represents. This helps in visualizing and comparing different values easily.
  • For example, a decimal like 0.056 can seem small or hard to interpret at first glance.
  • However, once we convert it to a percentage, it becomes 5.6%, which is much easier to understand in terms of proportion.
Understanding this conversion makes it easier to tackle various math problems and real-world situations, like calculating discounts or comparing data.
Percent Sign
The percent sign (%) is an important symbol in math and everyday life. It follows a number to indicate that the number is a percentage rather than a simple numerical value.
After converting a decimal by calculating its value out of 100, the percent sign is a crucial step that often gets overlooked. "Adding the percent sign" actually communicates the completion of the conversion process.
  • For instance, when we say 5.6%, the % mark tells us that 5.6 is part of 100.
  • Without the percent sign, the number would be incomplete in expressing its full value.
It's a small character, but it has a significant impact! Remember to always use it when finalizing a decimal to percent conversion.
Multiplying by 100
The process of converting a decimal to a percent mainly involves one crucial math operation: multiplying by 100. This is because one whole or 100 percent is represented as the number 1 in decimal form.
By stretching the decimal to its hypothetical position on the scale of 100, you can easily turn it into a percent.
  • For example, to convert 0.056 into a percentage, you multiply 0.056 by 100, which equals 5.6.
  • This multiplication factor of 100 always holds true regardless of the decimal you're converting.
Remember, when multiplying by 100, simply move the decimal point two places to the right. This simple step helps transform decimals into more relatable percentages effectively.

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Most popular questions from this chapter

A diamond necklace sells for \(\$ 24,966 .\) If the tax rate is \(7.5 \%,\) find the total price.

Complete each table. $$\begin{array}{|c|c|c|} \hline \text { Percent } & \text { Decimal } & \text { Fraction } \\ \hline 200 \% & & \\ \hline & 2.8 & \\ \hline 705 \% & & \\ \hline & & 4 \frac{27}{50} \\ \hline\end{array} $$

Add or subtract the decimals. $$\begin{array}{r}16.37 \\\\-\quad 2.61 \\\\\hline\end{array}$$

Check each answer to see if each makes the proportion a true proportion. If any proportion is not true, solve it to find the correct solution. $$\begin{aligned}&\frac{p}{100}=\frac{13}{52}\\\&\text { Is the percent equal to } 25(25 \%) \end{aligned}$$

Add or subtract the fractions. $$-\frac{11}{16}+\left(-\frac{3}{16}\right)$$
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